Rotational Energy

 

KETot = KEi

KETot = (1/2) mi vi2

KETot = (1/2) mi (vi)2

KETot = (1/2) mi (ri )2

KETot = (1/2) [ mi ri2] 2

KETot = (1/2) ["rotational mass"] 2

KETot = (1/2) ["moment of inertia"] 2

I = [ mi ri2] = moment of inertia

KETot = (1/2) I 2

I = [ mi ri2]

ri is the perpendicular distance from the axis of rotation.
Angular and Linear Connection

Moment of Inertia
Return to ToC, Ch10, Rotation about a Fixed Axis

(c) Doug Davis, 2001; all rights reserved